Yes, it does. But currently only the same fishing rod. But there is a work around that somebody posted that seems to work also. By fishing until all of one type breaks, then having the bot switch to a different one, and then fishing again until all of those break.

When it detects your rod is broke, it will exchange with the same rod. Or you can fish for say 20 times and manually switch to a different rod. Then keep switching back and forth until they are all broke.